Last Updated
：2025/12/04
integral element
Noun
Japanese Meaning
可換単位元付き環 R の拡大環 S に属する要素 s が、R の元を係数とするモニック多項式の根である場合、その要素 s を R に対して「整的」である（整元）と呼ぶ。
（ plural ）
Quizzes for review
(algebra, commutative algebra, ring theory) Given a commutative unital ring R with extension ring S (i.e., that is a subring of S), any element s ∈ S that is a root of some monic polynomial with coefficients in R.
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integral element
An integral element of S over R is any element s ∈ S that is a root of some monic polynomial with coefficients in R.
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An integral element of S over R is any element s ∈ S that is a root of some monic polynomial with coefficients in R.
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